29998224 has 60 divisors (see below), whose sum is σ = 86017932. Its totient is φ = 9753600.

The previous prime is 29998181. The next prime is 29998237. The reversal of 29998224 is 42289992.

It can be written as a sum of positive squares in 2 ways, for example, as 2624400 + 27373824 = 1620^2 + 5232^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29998224.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3364 + ... + 8444.

Almost surely, 2^29998224 is an apocalyptic number.

29998224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29998224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43008966).

29998224 is an abundant number, since it is smaller than the sum of its proper divisors (56019708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29998224 is a wasteful number, since it uses less digits than its factorization.

29998224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5127 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 29998224 is about 5477.0634467751. The cubic root of 29998224 is about 310.7171188689.

Subtracting from 29998224 its product of digits (186624), we obtain a square (29811600 = 5460²).

The spelling of 29998224 in words is "twenty-nine million, nine hundred ninety-eight thousand, two hundred twenty-four".